Replacement policies for age and working numbers with random life cycle
Replacement policies for age and working numbers with random life cycle
复制标题
DOI：
10.1080/03610926.2015.1136416
复制
发表时间：
2017-03
期刊：
影响因子：
--
通讯作者：
Xufeng Zhao;S. Mizutani;T. Nakagawa
中科院分区：
文献类型：
--
作者：
Xufeng Zhao;S. Mizutani;T. Nakagawa
文献中对几种替换策略进行了建模，认为运行单元的整个生命周期或运行间隔应该是有限的，而不是像传统方法那样是无限的。然而，更自然的是考虑有限生命周期是一个波动参数的情况，可以用来估计更换时间，这将在本文中讨论。为此，我们首先建立一个通用模型，在该模型中，在随机年龄U、第一个工作编号的随机时间Y、随机生命周期S或故障X时更换单元，以先发生者为准。在一般模型中包括的以下模型，使得当变量U是退化分布时在年龄T处进行替换，以及在变量Y的数量N和的工作数量N处进行替换，被优化。我们得到了每个模型的总预期重置成本和预期重置成本率。最佳年龄T，工作数N，和一对（T，N）的分析和数值计算。
ABSTRACT It has been modeled for several replacement policies in literatures that the whole life cycle or operating interval of an operating unit should be finite rather than infinite as is done with the traditional method. However, it is more natural to consider the case in which the finite life cycle is a fluctuated parameter that could be used to estimate replacement times, which will be taken up in this article. For this, we first formulate a general model in which the unit is replaced at random age U, random time Y for the first working number, random life cycle S, or at failure X, whichever occurs first. The following models included in the general model, such that replacement done at age T when variable U is a degenerate distribution, and replacement done at working numbers N summed by number N of variable Y, are optimized. We obtain the total expected cost until replacement and the expected replacement cost rate for each model. Optimal age T, working number N, and a pair of (T, N) are discussed analytically and computed numerically.